(d) Determine and state the critical path for this project. (e) What are the expected time and the variance of the project? (f) What is the probability that the project will be completed in 25 weeks
A regional conglomerate is about to upgrade its customised accounting software System 2000(S2K)
across the region. The directors of the group are eager to have the software upgraded to improve the
quality of data from the information system. The new software requires reliable internet access and
can be accessed from anywhere using a Virtual Private network (VPN) connection. The following
activities with times in weeks are under consideration.
Activity Immediate
predecessors
Optimistic
time
Most likely
time
Most
pessimistic
time
Variance
A - 4 6 8 .4444
B - 1 4.5 5 .4444
C A 4.5 6.5 7 .1736
D A 4 5 6 .1111
E B,C 4.5 5.5 8 .3403
F D 3 4 5 .1111
G E,F 1 1.5 5 .4444
H F,G 5 6 7 .1111
You must use two decimal places at all times for expected times when they are not integer (you are
not permitted to round off to integers).
(d) Determine and state the critical path for this project.
(e) What are the expected time and the variance of the project?
(f) What is the probability that the project will be completed in 25 weeks
(g) What date should be set such that there is a 94% chance of completion within that time?
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